How would you graph an inequality ?

1 answer:

7 0

There are three steps:

<span>Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).</span>

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Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati

amid [387]

In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
$f(x) = a(x - x_1)(x-x_2)(x-x_3)$

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form $(x_n , 0)$

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say $x_1 = 2 , x_2 = 3 , x_3 = 5$

So required equation is
$f(x) = a (x-2)(x-3)(x-5)$
              $= a[(x^2 - 2x - 3x + 6)(x-5)]$
              $= a[(x^2 - 5x+6)(x-5)]$
              $= a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)$
              $= a(x^3 - 10x^2+31x-30)$
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
$-5= a (0-0+0 - 30)$
$-5 = -30a$
$a = \frac{-5}{-30} = \frac{1}{6}$
So required equation of cubic polynomial is
$f(x) = \frac{1}{6}(x^3 -10x^2+31x-30)$

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.

4 0

4 years ago

Read 2 more answers

Solve the given equation <br> 7/10X=4 3/5

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

5 0

3 years ago

What is the solution set of |–x| = –10?

dem82 [27]

|a| = b gives
a =b or a = -b

so,
|-x| = -10
gives
-x = -10 or -x = 10
x = 10, -10

now let us verify,
when x = 10, |-10| = +10 and it is not = -10
so, x= 10 is NOT a solution.

when x = -10, |-(-10)| = |10| = 10 and it is not = -10
so, x= -10 is NOT a solution.

hence, this equation does not have a solution.

If we know that |...| can never be negative, we can directly deduce that this equation does not have any solution.

3 0

3 years ago

Read 2 more answers

Can someone please help me with this?

patriot [66]

The answer is 3y=-9x-6

7 0

3 years ago

If x-y=5 then how does y=-2x-4

mixer [17]

Based on my knowledge, you’d set both equations equal to y, and then set both sides equal to each other then solve.

y=-5+x
y=-2x-4
-5+x=-2x-4
then solve from there

(this could be completely wrong, so don’t only go by my opinion)

3 0

4 years ago